ANALYSIS OF THIN SHELLS WITH A DOUBLY CURVED ARBITRARY QUADRILATERAL FINITE ELEMENT

An arbitrary doubly curved quadrilateral element is developed which is compatible, has rigid body freedoms and flexible geometry. It is based on a non-shallow shell theory. In oblique coordinates defined by the element geometry cubic polynomials are used for the displacement representation with biquadric polynomials used for the rotations. The membrane energy is computed from the displacements and the bending energy from the rotations. No energy due to transverse shearing is included in the element; the Kirchhoff hypothesis is used at the mesh points to define the behavior of the rotations in terms of the reference surface behavior. Extensive applications to cylindrical and spherical shell problems document its behavior.

  • Availability:
  • Corporate Authors:

    Pergamon Press, Incorporated

    Maxwell House, Fairview Park
    Elmsford, NY  USA  10523
  • Authors:
    • Key, S W
  • Publication Date: 1972-9

Media Info

  • Features: References;
  • Pagination: p. 637-673
  • Serial:

Subject/Index Terms

Filing Info

  • Accession Number: 00046616
  • Record Type: Publication
  • Source Agency: Engineering Index
  • Files: TRIS
  • Created Date: Sep 27 1973 12:00AM